Certain indeterminate limits such as lim were encountered in formulating many of our rules for calculating derivatives . We were able to evaluate these limits by A. guessing C. using graphing software B. using the product rule D. using Newton's definition for derivatives

Q: 10 cosx sinx+1+.2x2 3. Below is a graph of the curve y 15t 10 5f -10 -5 10 -5t Find the slopes of…

A: (3) Let the equation of the curve be, y=10cosx1+sinx+2x2 Differentiate the function with respect to…

Q: f (x) - να-4 3

A: Given: f(x)=x3-4   Find: The derivative of the given function.

Q: Part A: Trigonometry Directions: Using the digits 1 to 6 at most one time, (no repeats within Part…

A: Function :fx=sin x

Q: c) G(w) = √ W 1+3w

A: (c) The given function is: G(w)=w1+3w The quotient rule of the derivative says:…

Q: 4. f(x) = 5sinx + 3cosx

A: To find the derivative of f(x)

Q: 7x*+Vx c) y =- ** Use the quotient rule. d) y = e" e) y = 7x* sin(2x)

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 13. Find the derivative of y = in terms of f, g, h, f', g' and h', where f, g, and h are functions…

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Q: 4. [-/1 Points] DETAILS SCALC8 4.3.009. Use Part 1 of the Fundamental Theorem of Calculus to find…

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Q: 5. g(x) = In(cos(x))

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Q: 3. h(x) = sin (x)

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Q: This question has several parts that must be completed sequentially. If art. Tutorial Exercise Use…

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Q: Question 6 You do not need to simplify the answer. :) For each of the following, use the quotient…

A: Given,  f(x)= (x2+x)x-2 = (x2+x)/x2 = (1+1/x) differentiate with respect to X, f'(x)= d/dx 1 + d/dx…

Q: IN QUESTIONS 1-5, FIND THE DERIVATIVE. ANSWER: ANSWER: 3. f(x) = -2xtanx ANSWER: ANSWER:

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Q: cscx 4. f(x) : x2

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Q: Find an equation of the tangent line to the graph of f at the given point. Be sure to include all…

A: Differentiate at given point and then use equation of  tangent  line

Q: Derivative of f(x) = sin(x) 2 For each x-value indicated, drag the purple dots up or down to…

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Q: Derivative of f(x) = cos(x) For each x-value indicated, drag the purple dots up or down to represent…

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Q: h(x) = sin(x) + cos(x)

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Q: a. Your friend Anna was absent in your online math class yesterday when your teacher discussed how…

A: Given : fx= 4x+5

Q: Complete the following list of derivative theorems: -[tan x] = dx d -[cot x] = dx d -[csc x]=

A: we know that ddxtanx=sec2xddxcotx=-cosec2xddxcosecx=-cosecxcotx now for verifying first property we…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: